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Simplifying 4(x + -3) + 2x = 2(x + 5) + -3 Reorder the terms: 4(-3 + x) + 2x = 2(x + 5) + -3 (-3 * 4 + x * 4) + 2x = 2(x + 5) + -3 (-12 + 4x) + 2x = 2(x + 5) + -3 Combine like terms: 4x + 2x = 6x -12 + 6x = 2(x + 5) + -3 Reorder the terms: -12 + 6x = 2(5 + x) + -3 -12 + 6x = (5 * 2 + x * 2) + -3 -12 + 6x = (10 + 2x) + -3 Reorder the terms: -12 + 6x = 10 + -3 + 2x Combine like terms: 10 + -3 = 7 -12 + 6x = 7 + 2x Solving -12 + 6x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 6x + -2x = 7 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = 7 + 0 -12 + 4x = 7 Add '12' to each side of the equation. -12 + 12 + 4x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 7 + 12 4x = 7 + 12 Combine like terms: 7 + 12 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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