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Simplifying -15x + 5 + -4(x + -1) = -4x + -1(14x + -4) + 4 Reorder the terms: -15x + 5 + -4(-1 + x) = -4x + -1(14x + -4) + 4 -15x + 5 + (-1 * -4 + x * -4) = -4x + -1(14x + -4) + 4 -15x + 5 + (4 + -4x) = -4x + -1(14x + -4) + 4 Reorder the terms: 5 + 4 + -15x + -4x = -4x + -1(14x + -4) + 4 Combine like terms: 5 + 4 = 9 9 + -15x + -4x = -4x + -1(14x + -4) + 4 Combine like terms: -15x + -4x = -19x 9 + -19x = -4x + -1(14x + -4) + 4 Reorder the terms: 9 + -19x = -4x + -1(-4 + 14x) + 4 9 + -19x = -4x + (-4 * -1 + 14x * -1) + 4 9 + -19x = -4x + (4 + -14x) + 4 Reorder the terms: 9 + -19x = 4 + 4 + -4x + -14x Combine like terms: 4 + 4 = 8 9 + -19x = 8 + -4x + -14x Combine like terms: -4x + -14x = -18x 9 + -19x = 8 + -18x Solving 9 + -19x = 8 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 9 + -19x + 18x = 8 + -18x + 18x Combine like terms: -19x + 18x = -1x 9 + -1x = 8 + -18x + 18x Combine like terms: -18x + 18x = 0 9 + -1x = 8 + 0 9 + -1x = 8 Add '-9' to each side of the equation. 9 + -9 + -1x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 8 + -9 -1x = 8 + -9 Combine like terms: 8 + -9 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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