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Simplifying 5(x + 1) + -3x = 4(x + -2) + 1 Reorder the terms: 5(1 + x) + -3x = 4(x + -2) + 1 (1 * 5 + x * 5) + -3x = 4(x + -2) + 1 (5 + 5x) + -3x = 4(x + -2) + 1 Combine like terms: 5x + -3x = 2x 5 + 2x = 4(x + -2) + 1 Reorder the terms: 5 + 2x = 4(-2 + x) + 1 5 + 2x = (-2 * 4 + x * 4) + 1 5 + 2x = (-8 + 4x) + 1 Reorder the terms: 5 + 2x = -8 + 1 + 4x Combine like terms: -8 + 1 = -7 5 + 2x = -7 + 4x Solving 5 + 2x = -7 + 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. 5 + 2x + -4x = -7 + 4x + -4x Combine like terms: 2x + -4x = -2x 5 + -2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -2x = -7 + 0 5 + -2x = -7 Add '-5' to each side of the equation. 5 + -5 + -2x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -7 + -5 -2x = -7 + -5 Combine like terms: -7 + -5 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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