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Simplifying 4(x + -3) + 2x = 8(x + 3) + -30 Reorder the terms: 4(-3 + x) + 2x = 8(x + 3) + -30 (-3 * 4 + x * 4) + 2x = 8(x + 3) + -30 (-12 + 4x) + 2x = 8(x + 3) + -30 Combine like terms: 4x + 2x = 6x -12 + 6x = 8(x + 3) + -30 Reorder the terms: -12 + 6x = 8(3 + x) + -30 -12 + 6x = (3 * 8 + x * 8) + -30 -12 + 6x = (24 + 8x) + -30 Reorder the terms: -12 + 6x = 24 + -30 + 8x Combine like terms: 24 + -30 = -6 -12 + 6x = -6 + 8x Solving -12 + 6x = -6 + 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. -12 + 6x + -8x = -6 + 8x + -8x Combine like terms: 6x + -8x = -2x -12 + -2x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -2x = -6 + 0 -12 + -2x = -6 Add '12' to each side of the equation. -12 + 12 + -2x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -6 + 12 -2x = -6 + 12 Combine like terms: -6 + 12 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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