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Simplifying (x + 1) * 4 = (2x + -5) * 3 Reorder the terms: (1 + x) * 4 = (2x + -5) * 3 Reorder the terms for easier multiplication: 4(1 + x) = (2x + -5) * 3 (1 * 4 + x * 4) = (2x + -5) * 3 (4 + 4x) = (2x + -5) * 3 Reorder the terms: 4 + 4x = (-5 + 2x) * 3 Reorder the terms for easier multiplication: 4 + 4x = 3(-5 + 2x) 4 + 4x = (-5 * 3 + 2x * 3) 4 + 4x = (-15 + 6x) Solving 4 + 4x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 4x + -6x = -15 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = -15 + 0 4 + -2x = -15 Add '-4' to each side of the equation. 4 + -4 + -2x = -15 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -15 + -4 -2x = -15 + -4 Combine like terms: -15 + -4 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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