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Simplifying 3(2x + -5) + 7 = 4(x + -3) Reorder the terms: 3(-5 + 2x) + 7 = 4(x + -3) (-5 * 3 + 2x * 3) + 7 = 4(x + -3) (-15 + 6x) + 7 = 4(x + -3) Reorder the terms: -15 + 7 + 6x = 4(x + -3) Combine like terms: -15 + 7 = -8 -8 + 6x = 4(x + -3) Reorder the terms: -8 + 6x = 4(-3 + x) -8 + 6x = (-3 * 4 + x * 4) -8 + 6x = (-12 + 4x) Solving -8 + 6x = -12 + 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. -8 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x -8 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 2x = -12 + 0 -8 + 2x = -12 Add '8' to each side of the equation. -8 + 8 + 2x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -12 + 8 2x = -12 + 8 Combine like terms: -12 + 8 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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