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Simplifying 4x + -3(x + -2) = 5(2x + -3) + 6x Reorder the terms: 4x + -3(-2 + x) = 5(2x + -3) + 6x 4x + (-2 * -3 + x * -3) = 5(2x + -3) + 6x 4x + (6 + -3x) = 5(2x + -3) + 6x Reorder the terms: 6 + 4x + -3x = 5(2x + -3) + 6x Combine like terms: 4x + -3x = 1x 6 + 1x = 5(2x + -3) + 6x Reorder the terms: 6 + 1x = 5(-3 + 2x) + 6x 6 + 1x = (-3 * 5 + 2x * 5) + 6x 6 + 1x = (-15 + 10x) + 6x Combine like terms: 10x + 6x = 16x 6 + 1x = -15 + 16x Solving 6 + 1x = -15 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6 + 1x + -16x = -15 + 16x + -16x Combine like terms: 1x + -16x = -15x 6 + -15x = -15 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + -15x = -15 + 0 6 + -15x = -15 Add '-6' to each side of the equation. 6 + -6 + -15x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = -15 + -6 -15x = -15 + -6 Combine like terms: -15 + -6 = -21 -15x = -21 Divide each side by '-15'. x = 1.4 Simplifying x = 1.4
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