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Simplifying 4x + -2(x + 5) + -3 = 6x + 3(x + -4) + 12 Reorder the terms: 4x + -2(5 + x) + -3 = 6x + 3(x + -4) + 12 4x + (5 * -2 + x * -2) + -3 = 6x + 3(x + -4) + 12 4x + (-10 + -2x) + -3 = 6x + 3(x + -4) + 12 Reorder the terms: -10 + -3 + 4x + -2x = 6x + 3(x + -4) + 12 Combine like terms: -10 + -3 = -13 -13 + 4x + -2x = 6x + 3(x + -4) + 12 Combine like terms: 4x + -2x = 2x -13 + 2x = 6x + 3(x + -4) + 12 Reorder the terms: -13 + 2x = 6x + 3(-4 + x) + 12 -13 + 2x = 6x + (-4 * 3 + x * 3) + 12 -13 + 2x = 6x + (-12 + 3x) + 12 Reorder the terms: -13 + 2x = -12 + 12 + 6x + 3x Combine like terms: -12 + 12 = 0 -13 + 2x = 0 + 6x + 3x -13 + 2x = 6x + 3x Combine like terms: 6x + 3x = 9x -13 + 2x = 9x Solving -13 + 2x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 2x + -9x = 9x + -9x Combine like terms: 2x + -9x = -7x -13 + -7x = 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -7x = 0 Add '13' to each side of the equation. -13 + 13 + -7x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 0 + 13 -7x = 0 + 13 Combine like terms: 0 + 13 = 13 -7x = 13 Divide each side by '-7'. x = -1.857142857 Simplifying x = -1.857142857
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