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Simplifying 3(x + -3) + -7(x + 3) = 4(2x + -3) + -8(2x + 3) Reorder the terms: 3(-3 + x) + -7(x + 3) = 4(2x + -3) + -8(2x + 3) (-3 * 3 + x * 3) + -7(x + 3) = 4(2x + -3) + -8(2x + 3) (-9 + 3x) + -7(x + 3) = 4(2x + -3) + -8(2x + 3) Reorder the terms: -9 + 3x + -7(3 + x) = 4(2x + -3) + -8(2x + 3) -9 + 3x + (3 * -7 + x * -7) = 4(2x + -3) + -8(2x + 3) -9 + 3x + (-21 + -7x) = 4(2x + -3) + -8(2x + 3) Reorder the terms: -9 + -21 + 3x + -7x = 4(2x + -3) + -8(2x + 3) Combine like terms: -9 + -21 = -30 -30 + 3x + -7x = 4(2x + -3) + -8(2x + 3) Combine like terms: 3x + -7x = -4x -30 + -4x = 4(2x + -3) + -8(2x + 3) Reorder the terms: -30 + -4x = 4(-3 + 2x) + -8(2x + 3) -30 + -4x = (-3 * 4 + 2x * 4) + -8(2x + 3) -30 + -4x = (-12 + 8x) + -8(2x + 3) Reorder the terms: -30 + -4x = -12 + 8x + -8(3 + 2x) -30 + -4x = -12 + 8x + (3 * -8 + 2x * -8) -30 + -4x = -12 + 8x + (-24 + -16x) Reorder the terms: -30 + -4x = -12 + -24 + 8x + -16x Combine like terms: -12 + -24 = -36 -30 + -4x = -36 + 8x + -16x Combine like terms: 8x + -16x = -8x -30 + -4x = -36 + -8x Solving -30 + -4x = -36 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -30 + -4x + 8x = -36 + -8x + 8x Combine like terms: -4x + 8x = 4x -30 + 4x = -36 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 4x = -36 + 0 -30 + 4x = -36 Add '30' to each side of the equation. -30 + 30 + 4x = -36 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = -36 + 30 4x = -36 + 30 Combine like terms: -36 + 30 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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