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Simplifying 4(2x + -7) + -3 = 4(x + -3) + 9 Reorder the terms: 4(-7 + 2x) + -3 = 4(x + -3) + 9 (-7 * 4 + 2x * 4) + -3 = 4(x + -3) + 9 (-28 + 8x) + -3 = 4(x + -3) + 9 Reorder the terms: -28 + -3 + 8x = 4(x + -3) + 9 Combine like terms: -28 + -3 = -31 -31 + 8x = 4(x + -3) + 9 Reorder the terms: -31 + 8x = 4(-3 + x) + 9 -31 + 8x = (-3 * 4 + x * 4) + 9 -31 + 8x = (-12 + 4x) + 9 Reorder the terms: -31 + 8x = -12 + 9 + 4x Combine like terms: -12 + 9 = -3 -31 + 8x = -3 + 4x Solving -31 + 8x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -31 + 8x + -4x = -3 + 4x + -4x Combine like terms: 8x + -4x = 4x -31 + 4x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 4x = -3 + 0 -31 + 4x = -3 Add '31' to each side of the equation. -31 + 31 + 4x = -3 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = -3 + 31 4x = -3 + 31 Combine like terms: -3 + 31 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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