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Simplifying 4x + -7 = 3(x + -3) + -6 Reorder the terms: -7 + 4x = 3(x + -3) + -6 Reorder the terms: -7 + 4x = 3(-3 + x) + -6 -7 + 4x = (-3 * 3 + x * 3) + -6 -7 + 4x = (-9 + 3x) + -6 Reorder the terms: -7 + 4x = -9 + -6 + 3x Combine like terms: -9 + -6 = -15 -7 + 4x = -15 + 3x Solving -7 + 4x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x -7 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 1x = -15 + 0 -7 + 1x = -15 Add '7' to each side of the equation. -7 + 7 + 1x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -15 + 7 1x = -15 + 7 Combine like terms: -15 + 7 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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