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Simplifying 4(x + 3) + -2x = 5(2x + 1) Reorder the terms: 4(3 + x) + -2x = 5(2x + 1) (3 * 4 + x * 4) + -2x = 5(2x + 1) (12 + 4x) + -2x = 5(2x + 1) Combine like terms: 4x + -2x = 2x 12 + 2x = 5(2x + 1) Reorder the terms: 12 + 2x = 5(1 + 2x) 12 + 2x = (1 * 5 + 2x * 5) 12 + 2x = (5 + 10x) Solving 12 + 2x = 5 + 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. 12 + 2x + -10x = 5 + 10x + -10x Combine like terms: 2x + -10x = -8x 12 + -8x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -8x = 5 + 0 12 + -8x = 5 Add '-12' to each side of the equation. 12 + -12 + -8x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 5 + -12 -8x = 5 + -12 Combine like terms: 5 + -12 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875
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