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Simplifying 4(x + -1) + 7 = 5(2x + -3) Reorder the terms: 4(-1 + x) + 7 = 5(2x + -3) (-1 * 4 + x * 4) + 7 = 5(2x + -3) (-4 + 4x) + 7 = 5(2x + -3) Reorder the terms: -4 + 7 + 4x = 5(2x + -3) Combine like terms: -4 + 7 = 3 3 + 4x = 5(2x + -3) Reorder the terms: 3 + 4x = 5(-3 + 2x) 3 + 4x = (-3 * 5 + 2x * 5) 3 + 4x = (-15 + 10x) Solving 3 + 4x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 4x + -10x = -15 + 10x + -10x Combine like terms: 4x + -10x = -6x 3 + -6x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -6x = -15 + 0 3 + -6x = -15 Add '-3' to each side of the equation. 3 + -3 + -6x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -15 + -3 -6x = -15 + -3 Combine like terms: -15 + -3 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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