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Simplifying -5(3x + -7) = 4(x + 1) + -2 Reorder the terms: -5(-7 + 3x) = 4(x + 1) + -2 (-7 * -5 + 3x * -5) = 4(x + 1) + -2 (35 + -15x) = 4(x + 1) + -2 Reorder the terms: 35 + -15x = 4(1 + x) + -2 35 + -15x = (1 * 4 + x * 4) + -2 35 + -15x = (4 + 4x) + -2 Reorder the terms: 35 + -15x = 4 + -2 + 4x Combine like terms: 4 + -2 = 2 35 + -15x = 2 + 4x Solving 35 + -15x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 35 + -15x + -4x = 2 + 4x + -4x Combine like terms: -15x + -4x = -19x 35 + -19x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + -19x = 2 + 0 35 + -19x = 2 Add '-35' to each side of the equation. 35 + -35 + -19x = 2 + -35 Combine like terms: 35 + -35 = 0 0 + -19x = 2 + -35 -19x = 2 + -35 Combine like terms: 2 + -35 = -33 -19x = -33 Divide each side by '-19'. x = 1.736842105 Simplifying x = 1.736842105
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