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Simplifying 4(x + -3) + -7 = 3(x + 2) + 6x Reorder the terms: 4(-3 + x) + -7 = 3(x + 2) + 6x (-3 * 4 + x * 4) + -7 = 3(x + 2) + 6x (-12 + 4x) + -7 = 3(x + 2) + 6x Reorder the terms: -12 + -7 + 4x = 3(x + 2) + 6x Combine like terms: -12 + -7 = -19 -19 + 4x = 3(x + 2) + 6x Reorder the terms: -19 + 4x = 3(2 + x) + 6x -19 + 4x = (2 * 3 + x * 3) + 6x -19 + 4x = (6 + 3x) + 6x Combine like terms: 3x + 6x = 9x -19 + 4x = 6 + 9x Solving -19 + 4x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -19 + 4x + -9x = 6 + 9x + -9x Combine like terms: 4x + -9x = -5x -19 + -5x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -19 + -5x = 6 + 0 -19 + -5x = 6 Add '19' to each side of the equation. -19 + 19 + -5x = 6 + 19 Combine like terms: -19 + 19 = 0 0 + -5x = 6 + 19 -5x = 6 + 19 Combine like terms: 6 + 19 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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