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Simplifying 2(x + -1) + -3(2x + -3) = 4(-5x + 7) + x Reorder the terms: 2(-1 + x) + -3(2x + -3) = 4(-5x + 7) + x (-1 * 2 + x * 2) + -3(2x + -3) = 4(-5x + 7) + x (-2 + 2x) + -3(2x + -3) = 4(-5x + 7) + x Reorder the terms: -2 + 2x + -3(-3 + 2x) = 4(-5x + 7) + x -2 + 2x + (-3 * -3 + 2x * -3) = 4(-5x + 7) + x -2 + 2x + (9 + -6x) = 4(-5x + 7) + x Reorder the terms: -2 + 9 + 2x + -6x = 4(-5x + 7) + x Combine like terms: -2 + 9 = 7 7 + 2x + -6x = 4(-5x + 7) + x Combine like terms: 2x + -6x = -4x 7 + -4x = 4(-5x + 7) + x Reorder the terms: 7 + -4x = 4(7 + -5x) + x 7 + -4x = (7 * 4 + -5x * 4) + x 7 + -4x = (28 + -20x) + x Combine like terms: -20x + x = -19x 7 + -4x = 28 + -19x Solving 7 + -4x = 28 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 7 + -4x + 19x = 28 + -19x + 19x Combine like terms: -4x + 19x = 15x 7 + 15x = 28 + -19x + 19x Combine like terms: -19x + 19x = 0 7 + 15x = 28 + 0 7 + 15x = 28 Add '-7' to each side of the equation. 7 + -7 + 15x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 28 + -7 15x = 28 + -7 Combine like terms: 28 + -7 = 21 15x = 21 Divide each side by '15'. x = 1.4 Simplifying x = 1.4
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