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Simplifying 8x + -5(3x + -14) = 4(2x + -8) + -18 Reorder the terms: 8x + -5(-14 + 3x) = 4(2x + -8) + -18 8x + (-14 * -5 + 3x * -5) = 4(2x + -8) + -18 8x + (70 + -15x) = 4(2x + -8) + -18 Reorder the terms: 70 + 8x + -15x = 4(2x + -8) + -18 Combine like terms: 8x + -15x = -7x 70 + -7x = 4(2x + -8) + -18 Reorder the terms: 70 + -7x = 4(-8 + 2x) + -18 70 + -7x = (-8 * 4 + 2x * 4) + -18 70 + -7x = (-32 + 8x) + -18 Reorder the terms: 70 + -7x = -32 + -18 + 8x Combine like terms: -32 + -18 = -50 70 + -7x = -50 + 8x Solving 70 + -7x = -50 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 70 + -7x + -8x = -50 + 8x + -8x Combine like terms: -7x + -8x = -15x 70 + -15x = -50 + 8x + -8x Combine like terms: 8x + -8x = 0 70 + -15x = -50 + 0 70 + -15x = -50 Add '-70' to each side of the equation. 70 + -70 + -15x = -50 + -70 Combine like terms: 70 + -70 = 0 0 + -15x = -50 + -70 -15x = -50 + -70 Combine like terms: -50 + -70 = -120 -15x = -120 Divide each side by '-15'. x = 8 Simplifying x = 8
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